What is the Greatest Common Factor of 4176 and 4184?

Greatest common factor (GCF) of 4176 and 4184 is 8.

GCF(4176,4184) = 8

We will now calculate the prime factors of 4176 and 4184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4176 and 4184.

How to find the GCF of 4176 and 4184?

We will first find the prime factorization of 4176 and 4184. After we will calculate the factors of 4176 and 4184 and find the biggest common factor number .

Step-1: Prime Factorization of 4176

Prime factors of 4176 are 2, 3, 29. Prime factorization of 4176 in exponential form is:

4176 = 2⁴ × 3² × 29¹

Step-2: Prime Factorization of 4184

Prime factors of 4184 are 2, 523. Prime factorization of 4184 in exponential form is:

4184 = 2³ × 523¹

Step-3: Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088

Step-4: Factors of 4184

List of positive integer factors of 4184 that divides 4176 without a remainder.

1, 2, 4, 8, 523, 1046, 2092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4176 and 4184. The biggest common factor number is the GCF number.
So the greatest common factor 4176 and 4184 is 8.

Also check out the Least Common Multiple of 4176 and 4184